Quite a Character: The Spectrum of Yang-Mills on S^3

Abstract

We introduce a simple method to extract the representation content of the spectrum of a system with SU(2) symmetry from its partition function. The method is easily generalized to systems with SO(2,4) symmetry, such as conformal field theories in four dimensions. As a specific application we obtain an explicit generating function for the representation content of free planar Yang-Mills theory on S^3. The extension to N = 4 super Yang-Mills is also discussed.

arXiv commentBased on a Brown University undergraduate thesis, 12 pages

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Cited by in corpus (7)

• One-loop Test of Free SU(N) Adjoint Model Holography
• On the Holography of Free Yang-Mills
• Free quantum fields in 4D and Calabi-Yau spaces
• CFT(4) Partition Functions and the Heat Kernel on AdS(5)
• One-Loop Free Energy of Tensionless Type IIB String in AdS${}_5\times$S${}^5$
• From Spinning Primaries to Permutation Orbifolds
• Holomorphic primary fields in free CFT4 and Calabi-Yau orbifolds